That's Howden, rather than Oldham.  Joseph Taylor's version has been posted here already:

The White Hare   You can hear him singing it on No. 18 of Topic's Voice of the People series:  To Catch a Fine Buck Was My Delight  (TSCD668, 1998)  Unfortunately, the Leader catalogue is now in the hands of Celtic Music of Harrogate, and is unlikely to be re-released in any form while the current owner is alive...

Frank Kidson published an earlier version from Howden (which is in Yorkshire) in Traditional Tunes (1891); it doesn't have the chorus used by the Watersons, which, as Bobby Bob says, they made up themselves.

Malcolm